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Theorems · Theorem · general topology

Filter.map_pure_prod

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : α → β → γ) (a : α) (B : Filter β),
  Filter.map (Function.uncurry f) (pure a ×ˢ B) = Filter.map (f a) B
Defined in
Mathlib.Order.Filter.Prod
Cited by
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Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Filter · cited by 8121FilterSProd.sprod · cited by 1750SProd.sprodFilter.map · cited by 819Filter.mapFilter.pure_prod · cited by 10Filter.pure_prodFilter.map_pure_prodCITED BYCITES

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